5248823042961 has 63 divisors (see below), whose sum is σ = 8025932870977. Its totient is φ = 3431048025600.

The previous prime is 5248823042959. The next prime is 5248823042971. The reversal of 5248823042961 is 1692403288425.

The square root of 5248823042961 is 2291031.

It is a perfect power (a square), and thus also a powerful number.

5248823042961 is a `hidden beast` number, since 5 + 2 + 48 + 8 + 2 + 304 + 296 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3543072113025 + 1705750929936 = 1882305^2 + 1306044^2 .

It is not a de Polignac number, because 5248823042961 - 2¹ = 5248823042959 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 5248823042898 and 5248823042907.

It is not an unprimeable number, because it can be changed into a prime (5248823042941) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 3278464561 + ... + 3278466161.

Almost surely, 2^{5248823042961} is an apocalyptic number.

5248823042961 is the 2291031-st square number.

5248823042961 is the 1145516-th centered octagonal number.

It is an amenable number.

5248823042961 is a deficient number, since it is larger than the sum of its proper divisors (2777109828016).

5248823042961 is an frugal number, since it uses more digits than its factorization.

5248823042961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3326 (or 1657 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 5248823042961 in words is "five trillion, two hundred forty-eight billion, eight hundred twenty-three million, forty-two thousand, nine hundred sixty-one".